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Finding the Fourth Proportional to 225,767.75, 311,770.40 and 145,335.06

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Solution

The fourth proportional to 225,767.75, 311,770.40 and 145,335.06 is: 200,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,767.75 : 311,770.40 = 145,335.06 : x
  2. Step 2: Convert to fraction form
    225,767.75/311,770.40 = 145,335.06/x
  3. Step 3: Cross multiply
    225,767.75x = 311,770.40 × 145,335.06
  4. Step 4: Simplify right side
    225,767.75x = 45,311,169,063.55
  5. Step 5: Solve for x
    x = 45,311,169,063.55/225,767.75
  6. Step 6: Final answer
    x = 200,698.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.